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Microprocessors. Data Converters Analog to Digital Converters (ADC) Convert an analog quantity (voltage, current) into a digital code Digital to Analog Converters (DAC) Convert a digital code into an analog quantity (voltage, current) Dr. Konstantinos Tatas and Dr. Costas Kyriacou.
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Microprocessors Data Converters Analog to Digital Converters (ADC) Convert an analog quantity (voltage, current) into a digital code Digital to Analog Converters (DAC) Convert a digital code into an analog quantity (voltage, current) Dr. Konstantinos Tatas and Dr. Costas Kyriacou
Video (Analog - Digital) Modulator Amplifier Filters Analog Pre- amplifier Digital A/D Image enhancement and coding Microprocessors I - Frederick University
Temperature Recording by a Digital System Temperature Temperature (ºC) (ºC) Time Time Sampling & quantization Coding Microprocessors I - Frederick University
Need for Data Converters Digital processing and storage of physical quantities (sound, temperature, pressure etc) exploits the advantages of digital electronics • Better and cheaper technology compared to the analog • More reliable in terms of storage, transfer and processing • Not affected by noise • Processing using programs (software) • Easy to change or upgrade the system • (e.g. Media Player 7 Media Player 8 ή Real Player) • Integration of different functions • (π.χ. Mobile = phone + watch + camera + games + email + Microprocessors I - Frederick University
Signals (Analog - Digital) u(V) 1111 1110 16 1100 14 12 1010 1001 10 1000 8 0110 0101 0100 6 4 u(V) 2 16 ADC 1111 1 2 3 4 5 6 7 8 9 t (S) 1110 14 1100 12 D0 0 1 0 1 0 0 1 0 0 1010 10 1001 1000 D1 0 0 1 0 1 1 1 0 0 8 DAC 0110 6 D2 1 0 1 1 0 1 1 1 0 0101 0100 4 D3 0 1 0 0 1 1 1 1 1 2 1 2 3 4 5 6 7 8 9 t (S) • Analog Signal • can take infinity values • can change at any time • Digital Signal • can take one of 2 values (0 or 1) • can change only at distinct times Reconstruction of an analog signal from a digital one (Can take only predefined values) Microprocessors I - Frederick University
QUANTIZATION ERROR • The difference between the true and quantized value of the analog signal • Inevitable occurrence due to the finite resolution of the ADC • The magnitude of the quantization error at each sampling instant is between zero and half of one LSB. • Quantization error is modeled as noise (quantization noise) Microprocessors I - Frederick University
SAMPLING FREQUENCY (RATE) • The frequency at which digital values are sampled from the analog input of an ADC • A low sampling rate (undersampling) may be insufficient to represent the analog signal in digital form • A high sampling rate (oversampling) requires high bitrate and therefore storage space and processing time • A signal can be reproduced from digital samples if the sampling rate is higher than twice the highest frequency component of the signal (Nyquist-Shannon theorem) • Examples of sampling rates • Telephone: 4 KHz (only adequate for speech, ess sounds like eff) • Audio CD: 44.1 KHz • Recording studio: 88.2 KHz Microprocessors I - Frederick University
Digital to Analog Converters • The analog signal at the output of a D/A converter is linearly proportional to the binary code at the input of the converter. • If the binary code at the input is 0001and the output voltage is 5mV, then • If the binary code at the input becomes 1001, the output voltage will become ...... 45mV • If a D/A converter has 4 digital inputs then the analog signal at the output can have one out of …… values. 16 • If a D/A converter has N digital inputs then the analog signal at the output can have one out of ……. values. 2Ν Microprocessors I - Frederick University
Characteristics of Data Converters • Number of digital lines • The number bits at the input of a D/A (or output of an A/D) converter. • Typical values: 8-bit, 10-bit, 12-bit and 16-bit • Can be parallel or serial • Microprocessor Compatibility • Microprocessor compatible converters can be connected directly on the microprocessor bus as standard I/O devices • They must have signals like CS, RD, and WR • Activating the WR signal on an A/D converter starts the conversion process. • Polarity • Polar: the analog signals can have only positive values • Bipolar: the analog signals can have either a positive or a negative value • Full-scale output • The maximum analog signal (voltage or current) • Corresponds to a binary code with all bits set to 1 (for polar converters) • Set externally by adjusting a variable resistor that sets the Reference Voltage (or current) Microprocessors I - Frederick University
Characteristics of Data Converters (Cont…) • Resolution • The analog voltage (or current) that corresponds to a change of 1LSB in the binary code • It is affected by the number of bits of the converter and the Full Scale voltage (VFS) • For example if the full-scale voltage of an 8-bit D/A converter is 2.55V the the resolution is: VFS/(2N-1) = 2.55 /(28-1) 2.55/255 = 0.01 V/LSB = 10mV/LSB • Conversion Time • The time from the moment that a “Start of Conversion” signal is applied to an A/D converter until the corresponding digital value appears on the data lines of the converter. • For some types of A/D converters this time is predefined, while for others this time can vary according to the value of the analog signal. • Settling Time • The time needed by the analog signal at the output of a D/A converter to be within 10% of the nominal value. Microprocessors I - Frederick University
ADC RESPONSE TYPES • Linear • Most common • Non-linear • Used in telecommunications, since human voice carries more energy in the low frequencies than the high. Microprocessors I - Frederick University
ADC TYPES • Direct Conversion • Fast • Low resolution • Successive approximation • Low-cost • Slow • Not constant conversion delay • Sigma-delta • High resolution, low-cost, high accuracy Microprocessors I - Frederick University
Interfacing with Data Converters • Microprocessor compatible data converters are attached on the microprocessor’s bus as standard I/O devices. Microprocessors I - Frederick University
Programming Example 1 Write a program to generate a positive ramp at the output of an 8-bit D/A converter with a 2V amplitude and a 1KHz frequency. Assume that the full scale voltage of the D/A converter is 2.55V. The D/A converter occupies the O/P address 0x6a0. main() { do { for (i=0;i<200;i++) { Out32(0x6a0,i); delayu(5); } } while (!_kbhit()); } Microprocessors I - Frederick University
D/A Converters example Write a program to generate the waveform, shown below, at the output of an 8-bit digital to analog converter. The period of the waveform should be approximately 8 ms. Assume that a time delay function with a 1 μs resolution is available. The full scale output of the converter is 5.12 V and the address of the DAC is 63H. Assuming that an 8-bit A/D converter is used to interface a temperature sensor measuring temperature values in the temperature range 0 - 51.2 • , specify: The resolution in of the system in • The digital output word for a temperature of 32.5 • The temperature corresponding to a digital output word of 01001110 Microprocessors I - Frederick University